Solve 75/2=x+2/3x

$$\frac { 75 } { 2 } = x + \frac { 2 } { 3 } x$$

Solve for x

$$x = \frac{45}{2} = 22\frac{1}{2} = 22.5$$

Steps for Solving Linear Equation

Combine x and \frac{2}{3}x to get \frac{5}{3}x.

$$\frac{75}{2}=\frac{5}{3}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{5}{3}x=\frac{75}{2}$$

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.

$$x=\frac{75}{2}\times \frac{3}{5}$$

Multiply \frac{75}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{75\times 3}{2\times 5}$$

Do the multiplications in the fraction \frac{75\times 3}{2\times 5}.

$$x=\frac{225}{10}$$

Reduce the fraction \frac{225}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{45}{2}$$